GCF of 7650/966, 9936/6508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7650/966, 9936/6508 i.e 18/3143364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7650/966, 9936/6508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7650/966,9936/6508?
Given fractions are 7650/966,9936/6508
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7650/966,9936/6508, numerators are 7650,9936
Denominators are 966,6508
The GCF of 7650,9936 is 18 .
LCM of 966,6508 is 3143364.
The greatest common factor of 7650/966,9936/6508 = [GCF of 7650,9936]/[LCM of 966,6508]= 18/3143364
Therefore, the GCF of 7650/966,9936/6508 is 18/3143364.
To find the highest common factor of 7650,9936, we have to find the factors of both numbers and list the highest common factor.
The factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
The HCF of 7650,9936 is 18.
Lets's calculate GCF of 7650,9936
| 2 | 7650, 9936 |
| 3 | 3825, 4968 |
| 3 | 1275, 1656 |
| 425, 552 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 7650,9936 By Matching Biggest Common Factor Method
Now, list down the factors of 7650
:1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650
Now, list down the factors of 9936
:1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936
Greatest Common Factor
We found the factors 7650,9936 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,9936 is 18.
Lets's calculate LCM of 966,6508
| 2 | 966, 6508 |
| 483, 3254 |
∴ So the LCM of the given numbers is 2 x 483 x 3254 = 3143364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3143364
Therefore, the GCF of Fractions 7650/966,9936/6508 is 18/3143364
Least Common Multiple of 966,6508 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 966,6508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,6508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,6508) x common factors =2 x 1 = 2
LCM(966,6508) = ( 966 × 6508 ) / 2
LCM(966,6508) = 6286728 / 2
LCM(966,6508) = 3143364
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FAQs on GCF of Fractions of 7650/966, 9936/6508
1. What is the HCF of 7650,9936?
The HCF of 7650,9936 is 18
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7650/966, 9936/6508?
Answer: GCF of Numerators as per given numbers 7650/966, 9936/6508 is
GCF of Numerators i.e. for 7650,9936 is 18
LCM of denominators i.e. for 966,6508 is 3143364.
Thus, GCF of Fractions is 18/3143364.Finally, GCF of Fractions for 7650/966, 9936/6508 is 18/3143364.